Course Description:
This Mathematics 1 tutorial course is divided into three series, each exploring fundamental mathematical concepts.
Chapter 1: Logic, Set Theory, and Reasoning: This chapter introduces students to the basics of mathematical logic, sets, and principles of reasoning. It covers key concepts aimed at developing skills in logic and problem-solving.
Chapter 2: Real Function and Applications: In this series, we delve into real functions and their applications in detail. Topics include the domain of definition, limits, function composition, properties of injection, surjection, and bijection, as well as the continuity and differentiability of functions.
Chapter 3: Limited Development: The third chapter explores limited development, providing an in-depth perspective on function approximations and analyzing their local behaviors through Taylor series and series expansions.
Target Audience: This course is designed for undergraduate students, particularly those specializing in mathematics, sciences, engineering, or related fields requiring a comprehensive understanding of advanced mathematical concepts.
General Objectives:
- Developing an understanding of fundamental principles of logic and mathematical reasoning.
- Deepening knowledge of real functions and their practical applications.
- Mastering limited development techniques and their use in analyzing local behaviors of functions.
- Enseignant: Nourhane ATTIA